What is ((8u)/5+(3v^2)/8)((8u)/5-(3v^2)/8) ?

The solution to ((8u)/5+(3v^2)/8)((8u)/5-(3v^2)/8) is ((64u+15v^2)(64u-15v^2))/(1600)

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simplify ((8u)/5+(3v^2)/8)((8u)/5-(3v^2)/8)

simplify

(\frac{8 u}{5} + \frac{3 v ^{2}}{8}) (\frac{8 u}{5} - \frac{3 v ^{2}}{8})

\frac{( 64 u + 15 v ^{2} ) ( 64 u - 15 v ^{2} )}{1600}

Solution steps

(\frac{8 u}{5} + \frac{3 v ^{2}}{8}) (\frac{8 u}{5} - \frac{3 v ^{2}}{8})

Join

\frac{8 u}{5} + \frac{3 v ^{2}}{8} : \frac{64 u + 15 v ^{2}}{40}

= \frac{64 u + 15 v ^{2}}{40} (\frac{8 u}{5} - \frac{3 v ^{2}}{8})

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 64 u + 15 v ^{2} ) ( \frac{8 u}{5} - \frac{3 v ^{2}}{8} )}{40}

Simplify

(64 u + 15 v^{2}) (\frac{8 u}{5} - \frac{3 v ^{2}}{8}) : \frac{( 64 u + 15 v ^{2} ) ( 64 u - 15 v ^{2} )}{40}

= \frac{\frac{( 64 u + 15 v ^{2} ) ( 64 u - 15 v ^{2} )}{40}}{40}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{( 64 u + 15 v ^{2} ) ( 64 u - 15 v ^{2} )}{40 \cdot 40}

Multiply the numbers:

40 \cdot 40 = 1600

= \frac{( 64 u + 15 v ^{2} ) ( 64 u - 15 v ^{2} )}{1600}

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What is ((8u)/5+(3v^2)/8)((8u)/5-(3v^2)/8) ?
The solution to ((8u)/5+(3v^2)/8)((8u)/5-(3v^2)/8) is ((64u+15v^2)(64u-15v^2))/(1600)